Math Problem Statement

Calculate the gross pay for this employee (assume time and a half over 40 hours):

Note: Round your "Total pay" answer to the nearest cent.

M T W TH F S Total Hours Rate per Hours Total Pay 10 8 7 1/2 8 1/4 12 1/4 0 46 $19.50 $955.50

Solution

To calculate the gross pay for an employee with the given work hours and rate, follow these steps:

  1. Determine Regular and Overtime Hours:

    • Regular hours: 40 hours (standard work week)
    • Overtime hours: Total hours - Regular hours = 46 - 40 = 6 hours
  2. Calculate Regular Pay: Regular pay=Regular hours×Rate per hour\text{Regular pay} = \text{Regular hours} \times \text{Rate per hour} Regular pay=40×$19.50=$780.00\text{Regular pay} = 40 \times \$19.50 = \$780.00

  3. Calculate Overtime Pay: Overtime pay rate=Rate per hour×1.5\text{Overtime pay rate} = \text{Rate per hour} \times 1.5 Overtime pay rate=$19.50×1.5=$29.25\text{Overtime pay rate} = \$19.50 \times 1.5 = \$29.25 Overtime pay=Overtime hours×Overtime pay rate\text{Overtime pay} = \text{Overtime hours} \times \text{Overtime pay rate} Overtime pay=6×$29.25=$175.50\text{Overtime pay} = 6 \times \$29.25 = \$175.50

  4. Calculate Total Pay: Total pay=Regular pay+Overtime pay\text{Total pay} = \text{Regular pay} + \text{Overtime pay} Total pay=$780.00+$175.50=$955.50\text{Total pay} = \$780.00 + \$175.50 = \$955.50

Thus, the gross pay for the employee is $955.50.

Would you like details on any specific part of this calculation or have any questions?

Related Questions:

  1. How do you calculate overtime pay if the overtime rate is different?
  2. What are the tax implications of gross pay?
  3. How do you calculate gross pay if there are bonuses involved?
  4. How would this calculation change if the employee worked fewer than 40 hours?
  5. Can you explain how to calculate net pay from gross pay?
  6. What are some common payroll deductions?
  7. How does holiday pay affect gross pay calculations?
  8. How do you handle gross pay calculations for salaried employees?

Tip:

When calculating overtime pay, always ensure the correct overtime rate is used according to company policy or labor laws, as it can vary from the standard time and a half.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Rates
Overtime Calculation

Formulas

Regular pay = Regular hours × Rate per hour
Overtime pay = Overtime hours × Overtime pay rate
Total pay = Regular pay + Overtime pay

Theorems

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Suitable Grade Level

Adult Learners